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Finding the Fourth Proportional to 302.38, 454.19 and 180.88

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Solution

The fourth proportional to 302.38, 454.19 and 180.88 is: 271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.38 : 454.19 = 180.88 : x
  2. Step 2: Convert to fraction form
    302.38/454.19 = 180.88/x
  3. Step 3: Cross multiply
    302.38x = 454.19 × 180.88
  4. Step 4: Simplify right side
    302.38x = 82,151.85
  5. Step 5: Solve for x
    x = 82,151.85/302.38
  6. Step 6: Final answer
    x = 271.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.